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Finding the Fourth Proportional to 25,521.24, 38,265.24 and 8,880

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Solution

The fourth proportional to 25,521.24, 38,265.24 and 8,880 is: 13,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,521.24 : 38,265.24 = 8,880 : x
  2. Step 2: Convert to fraction form
    25,521.24/38,265.24 = 8,880/x
  3. Step 3: Cross multiply
    25,521.24x = 38,265.24 × 8,880
  4. Step 4: Simplify right side
    25,521.24x = 339,795,331.20
  5. Step 5: Solve for x
    x = 339,795,331.20/25,521.24
  6. Step 6: Final answer
    x = 13,314.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.